Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter

Author:

J. Arenz, M. R. Zirnbauer

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), High Energy Physics - Theory (hep-th)

journal:

date:

2023-04-28 16:00:00

Abstract

Assuming the self-consistent theory of localization due to Abou-Chacra et al., we solve the N=1 Wegner model in the regime of strong disorder and high dimension. In the process, we uncover a non-standard electronic phase with spontaneously broken U(1) symmetry -- the missing field-theory basis underlying phenomena associated with fractal eigenstates and singular continuous spectra.

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